https://file.aiquickdraw.com/mathbot/file/1726745751983wy0ux25k.jpg

Let's break down the information from the image step by step:

### Data Table for Processed Items This Year:
| Quarter | Forecast (£k) | Actual (£k) |
|---------|----------------|-------------|
| Q1      | 920            | 800         |
| Q2      | 950            | 910         |
| Q3      | 750            | 820         |
| Q4      | 970            | 993         |

### Given Information:
- The Operations Manager promised that annual figures of processed items would increase by **35%** from last year.
- Last year's total processed items were **2,200,000**.

### Objective:
We are tasked with finding how much you exceeded the target proposed by your Operations Manager.

### Step 1: Calculate Last Year's Target with a 35% Increase
- Last year's total processed items: 2,200,000.
- Target increase: 35%.

\[
\text{Target for this year} = 2,200,000 + (2,200,000 \times 0.35)
\]

### Step 2: Calculate This Year’s Total Actual Processed Items
Add up the actual processed items for Q1 to Q4.

### Step 3: Compare the Actual Total to the Target and Calculate the Exceedance

Let me calculate this now.It seems there was a mismatch in units between the actual and forecast data (given in thousands) and the total processed items for last year (given in units). Let's correct the calculation by converting the actual data into the correct units.

I'll recalculate the actual total and the exceeded amount accordingly.This year, your actual total processed items amounted to **3,523,000** units. The target set by your Operations Manager, based on a 35% increase from last year's total, was **2,970,000** units.

Therefore, you exceeded the target by **553,000** units.

Would you like any more details or have any questions?

Here are 5 related questions to explore:
1. What was the total shortfall or excess for each individual quarter?
2. How would different percentage increases (e.g., 25%, 50%) change the target?
3. What is the percentage of the actual total exceeding the target?
4. How much would the target have been if the Operations Manager had aimed for a 50% increase?
5. How can you compare the forecasted and actual values for better future predictions?

**Tip**: When comparing large data sets, ensure all units are consistent to avoid calculation errors.

Your Operations Manager has given you last year's predicted and actual figures of processed items from Q1-Q4. During your mid-year review, your Operations Manager promised the board that despite the disappointing first half of the year, annual figures of processed items would increase by 35% on last year, when your total processed items was 2,200,000. By how much did you exceed the target your Operations Manager proposed?

This math problem involves calculating the actual processed items across four quarters and comparing them to a target based on a 35% increase from the previous year. Learn how to compute the exceeded amount using summation and percentage increase formulas.

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